Tracing the origin of azimuthal gluon correlations in the color glass condensate

Lappi, T.; Schenke, B.; Schlichting, S.; Venugopalan, R.

doi:10.1007/JHEP01(2016)061

Title: Tracing the origin of azimuthal gluon correlations in the color glass condensate

Abstract

Here we examine the origins of azimuthal correlations observed in high energy proton-nucleus collisions by considering the simple example of the scattering of uncorrelated partons off color fields in a large nucleus. We demonstrate how the physics of fluctuating color fields in the color glass condensate (CGC) effective theory generates these azimuthal multiparticle correlations and compute the corresponding Fourier coefficients v_n within different CGC approximation schemes. We discuss in detail the qualitative and quantitative differences between the different schemes. Lastly, we will show how a recently introduced color field domain model that captures key features of the observed azimuthal correlations can be understood in the CGC effective theory as a model of non-Gaussian correlations in the target nucleus.

Authors:

Lappi, T. ^[1]; Schenke, B. ^[2]; Schlichting, S. ^[2]; Venugopalan, R. ^[3]

Univ. of Jyvaskyla (Finland); Univ. of Helsinki (Finland)
Brookhaven National Lab. (BNL), Upton, NY (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States); Heidelberg Univ. (Germany). Inst. for Theoretische Physik

Publication Date:: Mon Jan 11 00:00:00 EST 2016

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1335445

Report Number(s):: BNL-112119-2016-JA
Journal ID: ISSN 1029-8479; R&D Project: KB0301020; KB0301020

Grant/Contract Number:: SC00112704; AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Heavy Ion Phenomenology; QCD Phenomenology

Citation Formats


                    Lappi, T., Schenke, B., Schlichting, S., and Venugopalan, R. Tracing the origin of azimuthal gluon correlations in the color glass condensate.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP01(2016)061.

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                    Lappi, T., Schenke, B., Schlichting, S., & Venugopalan, R. Tracing the origin of azimuthal gluon correlations in the color glass condensate.  United States.  https://doi.org/10.1007/JHEP01(2016)061

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                    Lappi, T., Schenke, B., Schlichting, S., and Venugopalan, R. Mon .  
"Tracing the origin of azimuthal gluon correlations in the color glass condensate".  United States.  https://doi.org/10.1007/JHEP01(2016)061.  https://www.osti.gov/servlets/purl/1335445.

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@article{osti_1335445,

  title        = {Tracing the origin of azimuthal gluon correlations in the color glass condensate},

  author       = {Lappi, T. and Schenke, B. and Schlichting, S. and Venugopalan, R.},

  abstractNote = {Here we examine the origins of azimuthal correlations observed in high energy proton-nucleus collisions by considering the simple example of the scattering of uncorrelated partons off color fields in a large nucleus. We demonstrate how the physics of fluctuating color fields in the color glass condensate (CGC) effective theory generates these azimuthal multiparticle correlations and compute the corresponding Fourier coefficients vn within different CGC approximation schemes. We discuss in detail the qualitative and quantitative differences between the different schemes. Lastly, we will show how a recently introduced color field domain model that captures key features of the observed azimuthal correlations can be understood in the CGC effective theory as a model of non-Gaussian correlations in the target nucleus.},

  doi          = {10.1007/JHEP01(2016)061},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 1,

  volume       = 2016,

  place        = {United States},

  year         = {Mon Jan 11 00:00:00 EST 2016},

  month        = {Mon Jan 11 00:00:00 EST 2016}

}

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Nature Physics, Vol. 15, Issue 3, p. 214-220
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Revealing the source of the radial flow patterns in proton–proton collisions using hard probes
journal, April 2017

Ortiz, Antonio; Bencédi, Gyula; Bello, Héctor
Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 6
DOI: 10.1088/1361-6471/aa6594

Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering
journal, September 2018

Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex
The European Physical Journal C, Vol. 78, Issue 9
DOI: 10.1140/epjc/s10052-018-6186-1

Non-eikonal corrections to multi-particle production in the color glass condensate
journal, July 2019

Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
The European Physical Journal C, Vol. 79, Issue 7
DOI: 10.1140/epjc/s10052-019-7097-5

Collectivity in Small Collision Systems: An Initial-State Perspective
journal, January 2016

Schlichting, Sören; Tribedy, Prithwish
Advances in High Energy Physics, Vol. 2016
DOI: 10.1155/2016/8460349

Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions
text, January 2016

Weil, J.; Steinberg, V.; Staudenmaier, J.
arXiv
DOI: 10.48550/arxiv.1606.06642

Mass ordering of spectra from fragmentation of saturated gluon states in high multiplicity proton-proton collisions
text, January 2016

Schenke, Bjoern; Schlichting, Soeren; Tribedy, Prithwish
arXiv
DOI: 10.48550/arxiv.1607.02496

Revealing the source of the radial flow patterns in proton--proton collisions using hard probes
text, January 2016

Ortiz, Antonio; Bencédi, Gyula; Bello, Héctor
arXiv
DOI: 10.48550/arxiv.1608.04784

Elliptic flow from color-dipole orientation in pp and pA collisions
text, January 2017

Iancu, Edmond; Rezaeian, Amir H.
arXiv
DOI: 10.48550/arxiv.1702.03943

Parton model description of multiparticle azimuthal correlations in $pA$ collisions
text, January 2017

Dusling, Kevin; Mace, Mark; Venugopalan, Raju
arXiv
DOI: 10.48550/arxiv.1706.06260

Correlations and the ridge in the Color Glass Condensate beyond the glasma graph approximation
text, January 2018

Altinoluk, Tolga; Armesto, Néstor; Wertepny, Douglas E.
arXiv
DOI: 10.48550/arxiv.1804.02910

Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering
text, January 2018

Altinoluk, Tolga; Armesto, Néstor; Kovner, Alex
arXiv
DOI: 10.48550/arxiv.1805.07739

Non-eikonal corrections to multi-particle production in the Color Glass Condensate
text, January 2019

Agostini, Pedro; Altinoluk, Tolga; Armesto, Néstor
arXiv
DOI: 10.48550/arxiv.1902.04483

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Here, simple power counting arguments in the dilute-dense framework of the Color Glass Condensate (CGC) Effective Field Theory predict that even and odd azimuthal anisotropy harmonics of two-particle correlations in proton-nucleus collisions at the LHC will respectively satisfy v²_2n {2} ∝ N⁰_ch and v²_2n+1 {2} ∝ N_ch, where N_ch denotes the number of charged particles. We show that these expectations are borne out qualitatively, and even quantitatively, within systematic uncertainties, for v₂ and v₄ in comparisons with data from the ATLAS collaboration. We also observe that ATLAS data for the v₃ azimuthal harmonic are in excellent agreement with our qualitativemore »« less
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Title: Tracing the origin of azimuthal gluon correlations in the color glass condensate

Abstract

Citation Formats

The ridge in proton–proton collisions at the LHC journal, February 2011

Azimuthal Collimation of Long Range Rapidity Correlations by Strong Color Fields in High Multiplicity Hadron-Hadron Collisions journal, June 2012

Explanation of systematics of CMS p + Pb high multiplicity dihadron data at s NN = 5.02 TeV journal, March 2013

Long-range rapidity correlations in heavy–light ion collisions journal, May 2013

Azimuthal harmonics of color fields in a high energy nucleus journal, May 2015

Azimuthal anisotropies in p + Pb collisions from classical Yang–Mills dynamics journal, July 2015

Bose enhancement and the ridge journal, December 2015

Eccentricity and elliptic flow in proton–proton collisions from parton evolution journal, August 2011

Mass Hierarchy in Identified Particle Distributions in Proton-Lead Collisions journal, October 2013

Elliptic and triangular flow anisotropy in deuteron-gold collisions at s N N = 200 GeV at RHIC and in proton-lead collisions at s N N = 5.02 TeV at the LHC journal, April 2014

Eccentric Protons? Sensitivity of Flow to System Size and Shape in p + p , p + Pb , and Pb + Pb Collisions journal, September 2014

Elliptic and Triangular Flow in p -Pb and Peripheral Pb-Pb Collisions from Parton Scatterings journal, December 2014

The Color Glass Condensate journal, November 2010

Non-perturbative computation of double inclusive gluon production in the Glasma journal, January 2010

Glasma flux tubes and the near side ridge phenomenon at RHIC journal, September 2008

Three-particle correlation from Glasma flux tubes journal, September 2009

Glittering Glasmas journal, September 2009

Long range two-particle rapidity correlations in collisions from high energy QCD evolution journal, May 2010

A Gaussian effective theory for gluon saturation journal, August 2003

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect journal, October 2004

High energy pA collisions in the color glass condensate approach II: quark pair production journal, October 2004

Evolution at small : The color glass condensate journal, October 2005

Subleading- corrections in non-linear small-x evolution journal, May 2009

Quark pair production in high energy pA collisions: General features journal, December 2006

New observables to test the Color Glass Condensate beyond the large- limit journal, October 2010

Renormalization group evolution of multi-gluon correlators in high energy QCD journal, December 2011

Higher-point correlations from the JIMWLK evolution journal, November 2011

JIMWLK evolution in the Gaussian approximation journal, April 2012

Computing quark and gluon distribution functions for very large nuclei journal, March 1994

Gluon distribution functions for very large nuclei at small transverse momentum journal, April 1994

Green’s function in the color field of a large nucleus journal, August 1994

Wilson renormalization group for low x physics: Towards the high density regime journal, November 1998

Wilson renormalization group for low x physics: Gluon evolution at finite parton density journal, November 1998

Nonlinear gluon evolution in the color glass condensate: I journal, September 2001

Nonlinear gluon evolution in the color glass condensate: II journal, May 2002

Azimuthal asymmetries and the emergence of “collectivity” from multi-particle correlations in high-energy pA collisions journal, April 2015

The color glass condensate and high energy scattering in QCD book, January 2004

Forward Quark Jets from Protons Shattering the Color Glass Condensate journal, June 2002

Cronin effect and high- p T suppression in pA collisions journal, November 2003

Fock space distributions, structure functions, higher twists, and small x journal, March 1999

Inclusive gluon production in deep inelastic scattering at high parton density journal, March 2002

Eikonal evolution and gluon radiation journal, October 2001

Inclusive two-gluon and valence-quark-gluon production in DIS and p A collisions journal, December 2004

Particle correlations in saturated QCD matter journal, November 2005

Azimuthal Correlations of Forward Dihadrons in d + Au Collisions at RHIC in the Color Glass Condensate journal, October 2010

Forward dihadron correlations in deuteron–gold collisions with a Gaussian approximation of JIMWLK journal, June 2013

Operator expansion for high-energy scattering journal, March 1996

Small- x F 2 structure function of a nucleus including multiple Pomeron exchanges journal, June 1999

On multiple scatterings of mesons in hot and cold QCD matter journal, May 2009

Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions journal, July 2013

Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering journal, April 2008

On the running coupling in the JIMWLK equation journal, February 2013

Investigation of possible hadronic flow in s NN = 5.02 TeV p − Pb collisions journal, June 2015

Hadronization scheme dependence of long-range azimuthal harmonics in high energy p + A reactions journal, July 2015

Mean p T scaling with m / n q at the LHC: Absence of (hydro) flow in small systems? journal, November 2015

Initial conditions for dipole evolution beyond the McLerran–Venugopalan model journal, April 2012

Random walks of partons in S U ( N c ) and classical representations of color charges in QCD at small x journal, November 2004

Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions text, January 2013

Glasma flux tubes and the near side ridge phenomenon at RHIC text, January 2008

Subleading-N_c corrections in non-linear small-x evolution text, January 2008

On multiple scatterings of mesons in hot and cold QCD matter text, January 2008

Glittering Glasmas text, January 2009

Long range two-particle rapidity correlations in A+A collisions from high energy QCD evolution text, January 2009

The Color Glass Condensate text, January 2010

New observables to test the Color Glass Condensate beyond the large-N_c limit text, January 2010

Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate text, January 2010

Eccentricity and elliptic flow in proton-proton collisions from parton evolution text, January 2010

Initial conditions for dipole evolution beyond the McLerran-Venugopalan model text, January 2011

Forward dihadron correlations in deuteron-gold collisions with a Gaussian approximation of JIMWLK text, January 2012

Long-Range Rapidity Correlations in Heavy-Light Ion Collisions text, January 2012

Long-range angular correlations on the near and away side in p-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV text, January 2012

Mass hierarchy in identified particle distributions in proton-lead collisions text, January 2013

Azimuthal harmonics of color fields in a high energy nucleus text, January 2015

Bose enhancement and the ridge preprint, January 2015

Eikonal Evolution and Gluon Radiation text, January 2001

Cronin Effect and High-p_T Suppression in pA Collisions text, January 2003

Evolution at small x_bj: The Color Glass Condensate text, January 2005

The ridge in proton–proton collisions at the LHC
journal, February 2011

Azimuthal Collimation of Long Range Rapidity Correlations by Strong Color Fields in High Multiplicity Hadron-Hadron Collisions
journal, June 2012

Explanation of systematics of CMS $p + Pb$ high multiplicity dihadron data at ${\sqrt{s}}_{NN} = 5.02 TeV$
journal, March 2013

Long-range rapidity correlations in heavy–light ion collisions
journal, May 2013

Azimuthal harmonics of color fields in a high energy nucleus
journal, May 2015

Azimuthal anisotropies in p + Pb collisions from classical Yang–Mills dynamics
journal, July 2015

Bose enhancement and the ridge
journal, December 2015

Eccentricity and elliptic flow in proton–proton collisions from parton evolution
journal, August 2011

Mass Hierarchy in Identified Particle Distributions in Proton-Lead Collisions
journal, October 2013

Elliptic and triangular flow anisotropy in deuteron-gold collisions at $\sqrt{s_{N N}} = 200$ GeV at RHIC and in proton-lead collisions at $\sqrt{s_{N N}} = 5.02$ TeV at the LHC
journal, April 2014

Eccentric Protons? Sensitivity of Flow to System Size and Shape in $p + p$ , $p + Pb$ , and $Pb + Pb$ Collisions
journal, September 2014

Elliptic and Triangular Flow in $p$ -Pb and Peripheral Pb-Pb Collisions from Parton Scatterings
journal, December 2014

The Color Glass Condensate
journal, November 2010

Non-perturbative computation of double inclusive gluon production in the Glasma
journal, January 2010

Glasma flux tubes and the near side ridge phenomenon at RHIC
journal, September 2008

Three-particle correlation from Glasma flux tubes
journal, September 2009

Glittering Glasmas
journal, September 2009

Long range two-particle rapidity correlations in collisions from high energy QCD evolution
journal, May 2010

A Gaussian effective theory for gluon saturation
journal, August 2003

High energy pA collisions in the color glass condensate approach I: gluon production and the Cronin effect
journal, October 2004

High energy pA collisions in the color glass condensate approach II: quark pair production
journal, October 2004

Evolution at small : The color glass condensate
journal, October 2005

Subleading- corrections in non-linear small-x evolution
journal, May 2009

Quark pair production in high energy pA collisions: General features
journal, December 2006

New observables to test the Color Glass Condensate beyond the large- limit
journal, October 2010

Renormalization group evolution of multi-gluon correlators in high energy QCD
journal, December 2011

Higher-point correlations from the JIMWLK evolution
journal, November 2011

JIMWLK evolution in the Gaussian approximation
journal, April 2012

Computing quark and gluon distribution functions for very large nuclei
journal, March 1994

Gluon distribution functions for very large nuclei at small transverse momentum
journal, April 1994

Green’s function in the color field of a large nucleus
journal, August 1994

Wilson renormalization group for low x physics: Towards the high density regime
journal, November 1998

Wilson renormalization group for low x physics: Gluon evolution at finite parton density
journal, November 1998

Nonlinear gluon evolution in the color glass condensate: I
journal, September 2001

Nonlinear gluon evolution in the color glass condensate: II
journal, May 2002

Azimuthal asymmetries and the emergence of “collectivity” from multi-particle correlations in high-energy pA collisions
journal, April 2015

The color glass condensate and high energy scattering in QCD
book, January 2004

Forward Quark Jets from Protons Shattering the Color Glass Condensate
journal, June 2002

Cronin effect and high- $p_{T}$ suppression in pA collisions
journal, November 2003

Fock space distributions, structure functions, higher twists, and small x
journal, March 1999

Inclusive gluon production in deep inelastic scattering at high parton density
journal, March 2002

Eikonal evolution and gluon radiation
journal, October 2001

Inclusive two-gluon and valence-quark-gluon production in DIS and $p A$ collisions
journal, December 2004

Particle correlations in saturated QCD matter
journal, November 2005

Azimuthal Correlations of Forward Dihadrons in $d + Au$ Collisions at RHIC in the Color Glass Condensate
journal, October 2010

Forward dihadron correlations in deuteron–gold collisions with a Gaussian approximation of JIMWLK
journal, June 2013

Operator expansion for high-energy scattering
journal, March 1996

Small- x $F_{2}$ structure function of a nucleus including multiple Pomeron exchanges
journal, June 1999

On multiple scatterings of mesons in hot and cold QCD matter
journal, May 2009

Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
journal, July 2013

Wilson line correlator in the MV model: relating the glasma to deep inelastic scattering
journal, April 2008

On the running coupling in the JIMWLK equation
journal, February 2013

Investigation of possible hadronic flow in $\sqrt{s_{NN}} = 5.02 TeV$ $p - Pb$ collisions
journal, June 2015

Hadronization scheme dependence of long-range azimuthal harmonics in high energy p + A reactions
journal, July 2015

Mean $p_{T}$ scaling with $m / n_{q}$ at the LHC: Absence of (hydro) flow in small systems?
journal, November 2015

Initial conditions for dipole evolution beyond the McLerran–Venugopalan model
journal, April 2012

Random walks of partons in $S U (N_{c})$ and classical representations of color charges in QCD at small $x$
journal, November 2004

Multiplicity and transverse momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
text, January 2013

Glasma flux tubes and the near side ridge phenomenon at RHIC
text, January 2008

Subleading-N_c corrections in non-linear small-x evolution
text, January 2008

On multiple scatterings of mesons in hot and cold QCD matter
text, January 2008

Glittering Glasmas
text, January 2009

Long range two-particle rapidity correlations in A+A collisions from high energy QCD evolution
text, January 2009

The Color Glass Condensate
text, January 2010

New observables to test the Color Glass Condensate beyond the large-N_c limit
text, January 2010

Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate
text, January 2010

Eccentricity and elliptic flow in proton-proton collisions from parton evolution
text, January 2010

Initial conditions for dipole evolution beyond the McLerran-Venugopalan model
text, January 2011

Forward dihadron correlations in deuteron-gold collisions with a Gaussian approximation of JIMWLK
text, January 2012

Long-Range Rapidity Correlations in Heavy-Light Ion Collisions
text, January 2012

Long-range angular correlations on the near and away side in p-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV
text, January 2012

Mass hierarchy in identified particle distributions in proton-lead collisions
text, January 2013

Azimuthal harmonics of color fields in a high energy nucleus
text, January 2015

Bose enhancement and the ridge
preprint, January 2015

Eikonal Evolution and Gluon Radiation
text, January 2001

Cronin Effect and High-p_T Suppression in pA Collisions
text, January 2003

Evolution at small x_bj: The Color Glass Condensate
text, January 2005

Quark pair production in high energy pA collisions: General features
text, January 2006

Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
text, January 1993

The Wilson renormalization group for low x physics: towards the high density regime
text, January 1997